Solution: x=1/3
decimal: x=0.3333...
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Basically divide each fraction to get the simplified version of each answer. You divide each fraction by the highest multiple.
4/16 can be divided by 4 to get 1/4
12/18 can be divided by 6 to get 2/3
4/10 can be divided by 2 to get 2/5
16/20 can be divided by 4 to get 4/5
Answer:
Yes!
Step-by-step explanation:
Answer:
<em>The binomial is a factor</em>
Step-by-step explanation:
In order to show that x+3 is a factor of the polynomial, then;
f(a) = 0
Get a by equating x+3 to zero
x+3 = 0
x = -3
Get f(-3)
f(-3) = (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3
f(-3) = 81 - 216 + 99 + 33 + 3
f(-3) = 216-216
f(-3) = 0
<em>Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial</em>
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